The approx Yield to maturity is 7.20%
Either Excel or Financial Calculator must be used to determine a bond's exact YTM. Manual computations only allow us to arrive at an approximation of YTM.
Manual calculation: For this, a mathematical relationship is needed:
But remember. This will yield approximate YTM only
Approx YTM = \frac{35 + \frac{1000 - 987}{16}}{\frac{1000 + 987}{2}}
Approx YTM = 35.8125/994
Approx YTM = 3.60% ---> semi-annual
Annual approx YTM = 3.60% * 2 = 7.20%
Yield to maturity (YTM) is the total rate of return a bond will have achieved after all interest payments and principal repayments have been made. The internal rate of return (IRR) on a bond if held to maturity is essentially what YTM stands for.
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